138570736000 has 64 divisors (see below), whose sum is σ = 344521532160. Its totient is φ = 55428288000.

The previous prime is 138570735977. The next prime is 138570736019. The reversal of 138570736000 is 637075831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4314336 + ... + 4346335.

It is an arithmetic number, because the mean of its divisors is an integer number (5383148940).

Almost surely, 2^138570736000 is an apocalyptic number.

138570736000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138570736000 is an abundant number, since it is smaller than the sum of its proper divisors (205950796160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138570736000 is an frugal number, since it uses more digits than its factorization.

138570736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660700 (or 8660678 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 138570736000 in words is "one hundred thirty-eight billion, five hundred seventy million, seven hundred thirty-six thousand".